3 papers
math.PR2026
Generalized Excited Random Walks under Bernoulli excitations
Rodrigo B. Alves, Giulio Iacobelli, Glauco Valle +1
We study a variant of the Generalized Excited Random Walk (GERW) on introduced by Menshikov, Popov, RamÃrez and Vachkovskaia in [Ann. Probab. 40 (5), 2012]. It cons…
math.DS2025
Operators of stochastic adding machines and Julia sets
Danilo Caprio, Ali Messaoudi, Ioannis Tsokanos +1
A stochastic adding machine is a Markov chain on the set of non-negative integers that models the process of adding one by successively updating the digits of a nu…
math.PR2024
Onset of pattern formation for the stochastic Allen-Cahn equation
Stella Brassesco, Glauco Valle, Maria Eulália Vares
We study the behavior of the solution of a stochastic Allen-Cahn equation $\frac{\partial u_\eps }{\partial t}=\frac 12 \frac{\partial^2 u_\eps }{\partial x^2}+ u_\eps -u_\eps^3+\s…